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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 901 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 84 cm (d) 31 cm
  2. 2.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 48 cm (c) 4 cm (d) 8 cm
  3. 3.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 22 cm (c) 120 cm (d) 44 cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  5. 5.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 41 cm (c) 48 cm (d) 24 cm
  6. 6.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  8. 8.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 43 cm (c) 153 cm (d) 52 cm
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  10. 10.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 46 cm (c) 28 cm (d) 56 cm
  11. 11.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 34 cm (b) 6 cm (c) 4 cm (d) 3 cm
  12. 12.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 19 cm (c) 24 cm (d) 22 cm
  13. 13.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 11 cm (d) 22 cm
  14. 14.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
  15. 15.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 21 sq cm (d) 9 sq cm
  16. 16.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 36 sq cm (d) 45 sq cm
  17. 17.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 8 cm (c) 5 cm (d) 4 cm
  18. 18.A rectangle is 18 cm long and 11 cm wide. What is its area? (a) 58 sq cm (b) 198 sq cm (c) 216 sq cm (d) 29 sq cm
  19. 19.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 14 cm (d) 18 cm
  20. 20.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 234 sq cm (c) 216 sq cm (d) 30 sq cm
  21. 21.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 81 sq cm (c) 17 sq cm (d) 34 sq cm
  22. 22.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 36 cm (c) 4 cm (d) 5 cm
  23. 23.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 21 sq cm (c) 42 sq cm (d) 108 sq cm
  24. 24.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 65 sq cm (c) 36 sq cm (d) 18 sq cm
  25. 25.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  26. 26.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 30 sq cm (c) 11 sq cm (d) 22 sq cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  28. 28.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 10 cm (c) 9 cm (d) 18 cm
  29. 29.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 19 sq cm (d) 70 sq cm
  30. 30.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 20 cm (d) 17 cm
  31. 31.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 21 sq cm (c) 80 sq cm (d) 42 sq cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  33. 33.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 182 sq cm (b) 168 sq cm (c) 52 sq cm (d) 26 sq cm
  34. 34.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 44 cm (d) 144 cm
  35. 35.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 30 cm
  36. 36.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 50 cm (d) 45 cm
  37. 37.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 60 cm
  38. 38.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 81 sq cm (d) 18 sq cm
  39. 39.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  40. 40.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 75 sq cm (c) 40 sq cm (d) 20 sq cm

Answer key

  1. 38 cm
  2. 4 cm
  3. 44 cm
  4. 169 sq cm
  5. 48 cm
  6. 20 cm
  7. 25 sq cm
  8. 52 cm
  9. 100 sq cm
  10. 56 cm
  11. 3 cm
  12. 22 cm
  13. 11 cm
  14. 56 sq cm
  15. 14 sq cm
  16. 36 sq cm
  17. 4 cm
  18. 198 sq cm
  19. 18 cm
  20. 216 sq cm
  21. 72 sq cm
  22. 4 cm
  23. 108 sq cm
  24. 65 sq cm
  25. 16 sq cm
  26. 30 sq cm
  27. 144 sq cm
  28. 9 cm
  29. 70 sq cm
  30. 20 cm
  31. 80 sq cm
  32. 225 sq cm
  33. 168 sq cm
  34. 52 cm
  35. 3 cm
  36. 50 cm
  37. 5 cm
  38. 81 sq cm
  39. 49 sq cm
  40. 75 sq cm

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